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arxiv: 0907.3848 · v3 · pith:SYXBRF65new · submitted 2009-07-22 · ❄️ cond-mat.mes-hall · math-ph· math.MP

Time ordering and counting statistics

classification ❄️ cond-mat.mes-hall math-phmath.MP
keywords chargecorrelatorsorderingquantumacrossapplybasicconcerning
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The basic quantum mechanical relation between fluctuations of transported charge and current correlators is discussed. It is found that, as a rule, the correlators are to be time-ordered in an unusual way. Instances where the difference with the conventional ordering matters are illustrated by means of a simple scattering model. We apply the results to resolve a discrepancy concerning the third cumulant of charge transport across a quantum point contact.

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